Abstract
In this paper, the evolution of a cloud of interacting particles in their orbital motion around the Earth is considered.In numerical simulations in a non-inertial orbital coordinate system, there is a large difference in the orders of the quantities used, which prevents calculations. To prevent this from happening, the equations of motion of particles are written in a special form.The proposed research algorithm allows one to obtain the relative configurations of the clouds of particles with allowance for various perturbations and with different required computational accuracy.
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